Explanation of Patterns for 4x4 Magic Squares

Every entry x of a 4x4 magic square is represented by a visualisation of the bit sequence of x-1:

x-1
bit sequence
0
0000
1
0001
2
0010
3
0011
4
0100
5
0101
6
0110
7
0111
8
1000
9
1001
10
1010
11
1011
12
1100
13
1101
14
1110
15
1111
 visualisisation 


The pattern belonging to a single 4x4 magic square will be repeated twelve times in a 3x4-scheme.